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Beliebt Rechnen >

d/(dy)(2y^3+1/(24y))

Lösung

\frac{d}{d y} (2 y^{3} + \frac{1}{24 y})

Lösung

6 y^{2} - \frac{1}{24 y ^{2}}

Schritte zur Lösung

\frac{d}{d y} (2 y^{3} + \frac{1}{24 y})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d y} (2 y^{3}) + \frac{d}{d y} (\frac{1}{24 y})

\frac{d}{d y} (2 y^{3}) = 6 y^{2}

\frac{d}{d y} (\frac{1}{24 y}) = - \frac{1}{24 y ^{2}}

= 6 y^{2} - \frac{1}{24 y ^{2}}

Graph

Beliebte Beispiele

derivative of 3x^2+5x

\frac{d}{d x} (3 x^{2} + 5 x)

limit as x approaches 1+of x^{6/(1-x)}

x \to 1 + lim (x^{\frac{6}{1 - x}})

derivative of ((x-3(x^2+3x+9))/(x^3))

\frac{d}{d x} (\frac{( x - 3 ) ( x ^{2} + 3 x + 9 )}{x ^{3}})

\frac{d}{d y} (\frac{3}{y})

integral of 1/(xln(x^2))

\int \frac{1}{x ln ( x ^{2} )} d x